find the value of x.

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Quadratic Equations

Step-by-step explanation:

Step 1: Define

Identify.

y = x² + 8x

Step 2: Find Roots

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:2

Step-by-step explanation:

car, and arc, however ar is also a word, not distinctly though.

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Answer:it might be A

Answer:

260+325 = 585

260 where instructors that were full time and 325 were already full time. this is correct if I am reading your question correctly if not the answer is likely 260

Answer:

a

Step-by-step explanation:

I say you need to get mays age to even get lilacs age

The value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

There are four vertices and four sides.

Every vertex has an angle of 90 degrees.

Equal and parallel opposed sides are bisected by a diagonal.

We know that the diagonals of a rectangle bisect each other.

Thus, for the quadrilateral to be a rectangle we have:

BE = ED

3x + 1 = 5x - 3

1 + 3 = 5x - 3x

4 = 2x

x = 2

Hence, the value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

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Answer:

Monthly payment= $550.25

Step-by-step explanation:

First, we need to calculate the value of the loan:

Loan= 27,635 - 5,000

Loan= $22,635

Now, the monthly payment:

Interest rate (i)= 0.0778/12= 0.006483

n= 4*12= 48 months

Loan (PV)= $22,635

We need to use the following formula:

Monthly payment= (PV*i) / [1 - (1+i)^(-n)]

Monthly payment= (22,635*0.007483) / [1 - (1.006483^-48)]

Monthly payment= $550.25

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Answer:

the answer is 3.36 please mark brainliest

Step-by-step explanation:

============================================================

Explanation:

Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.

However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.

The a! = 3! = 6 is from the fact we have 3 copies of '1'.

The b! = 3! = 6 is from the fact we have 3 copies of '2'

Dividing by 36 gets us (40,320)/36 = 1120

The correct answer is $170.4

Explanation:

The total Georgie spent is equal to the money spent on clothes ($160) added to taxes (6.5% of the price of the clothes). Now, to calculate the money spend on taxes follow this process:

1. Divide the total of money spent on clothes into 100 (this number represents 100%)

160 ÷ 100 = 1.6

2. Multiply this number by the specific percentage (6.5)

1.6 x 6.5 = $10.4 (This is the money spent on taxes)

Finally, add the value of taxes and the price of the clothes:

$160 + $10.4 = $170.4

\(\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }\)

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

\(sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}\)

Then,

\(\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10\)

Thank you

Answer:

-10

Step-by-step explanation:

L' Hopital's rule can be used to solve it.

We search for lim (f(x)/g(x))

this is the same as lim (f' (x)/g' (x))

this is the same as lim f'' (x)/g'' (x)

so here we have f(x) =sin(4x)-4sin(x)

g(x)=x^3

g'' (x)= 6x

f'' (x)=-16sin(4x)+4sin(x)

so lim f'' (x) / g ''(x) = -16/6 lim sin(4x)/x + 4/6 lim (sin(x)/x)

= -16*4/6+4/6

=(-64+4)/6=-60/6=-10

Answer:

Step -by-step explanation:

Answer:

-257.4

Step-by-step explanation:

-257.4 trust meh

Answer:

-257.4

mark as brainliest

Answer:

Step-by-step explanation:

To determine the significance level for the difference in means between the first two groups, we need to refer to the provided normal distribution. However, you haven't provided the details or parameters of the normal distribution, such as the mean and standard deviation. Without this information, it is not possible to determine the exact significance level required.

In hypothesis testing, the significance level, typically denoted as α (alpha), is chosen by the researcher before conducting the experiment. It represents the threshold at which the researcher considers the results to be statistically significant. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

Please provide the necessary parameters or more information about the normal distribution to determine the specific significance level for the difference in means between the first two groups.

The quadratic function for the area of the triangle is: A(x) =  x² / 2.

The area of triangle for the value of x = 2.4 units is 2.88 sq. units.

A function or mathematical statement of degree two is a quadratic function. This indicates that two is the function's highest power. Hence, two is their highest power. A quadratic function must have a highest power of two. It cannot go either higher or lower. It ceases to be a quadratic if it is lower or higher. Quadratic functions are most frequently expressed in standard form.

Area of the right triangle is given as:

Area  = 1/2 * base * height

from figure:

base is given as 'x'.

height is given as 'x'

Area A(x) = 1/2 * x * x

Area A(x) = x² / 2

thus, the quadratic function for the area of the triangle is: A(x) =  x² / 2

Now, area for x = 2.4 units

area A(x) = (2.4)² / 2

area A(x) = 5.76 / 2

area A(2.4) = 2.88 sq. units

Thus, the area of triangle for the value of x = 2.4 units is 2.88 sq. units.

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The current market value is $9086.98

In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.

Using exponential decay formula, the value of the car in 4 years is given by:

A(t) = A(0)(1 - r)^t

A(4) = 13850(1 - 0.1)^4

A(4) = 13850 * (0.9)^4

A(4) = 9086.98

Therefore, The current market value is $9086.98

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Answer:

None

Step-by-step explanation:

\(4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions\)

Answer: There are no solutions for the equation.

Step-by-step explanation:

4x - 6 = 2(2x + 3)

4x - 6 = 4x + 6                                                        

-6 = 6                                                                        

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer: 72 days

Step-by-step explanation:

STEP ONE: Find the total amount of food

Total days = 18 days

Total people = 8 people

Total food = days × people

Total food = 18 × 8

Total food = 144

STEP TWO: Find the days that would last for 2 people

Total people = 2 people

Total food = 144 units

Total days = food ÷ people

Total days = 144 ÷ 2

Total days = \(\boxed{72days}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

258

Step-by-step explanation:

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

They both will finish at the same time.

Step-by-step explanation:

John can finish \(\frac{1}{6}\) of the pizza in 2 minutes.

2 minutes ---> \(\frac{1}{6}\)

1 minutes ---> 0.833

Billy can finish \(\frac{1}{4}\) of the pizza in 3 minutes.

3 minutes ---> 0.25

1 minutes ---> 0.0833

Therefore, they both shall finish at the same time.

Answer:

Step-by-step explanation:

In one pizza, there are 6 sixths and John will take .

2 × 6 = 12 minutes to finish one pizza

In one pizza, there are 4 quarters and Billy will take .

3 × 4 = 12 minutes to finish one pizza.

It takes each one of them 12 minutes and they will finish at the same time.

Answered by: ms115

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec